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Finding the Fourth Proportional to 5,834.26, 8,740.05 and 5,179.78

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Solution

The fourth proportional to 5,834.26, 8,740.05 and 5,179.78 is: 7,759.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.26 : 8,740.05 = 5,179.78 : x
  2. Step 2: Convert to fraction form
    5,834.26/8,740.05 = 5,179.78/x
  3. Step 3: Cross multiply
    5,834.26x = 8,740.05 × 5,179.78
  4. Step 4: Simplify right side
    5,834.26x = 45,271,536.19
  5. Step 5: Solve for x
    x = 45,271,536.19/5,834.26
  6. Step 6: Final answer
    x = 7,759.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.